Persistent current in superconducting nanorings

The superconductivity in very thin rings is suppressed by quantum phase slips. As a result, the amplitude of the persistent current oscillations with flux becomes exponentially small, and their shape changes from sawtooth to a sinusoidal one. We reduce the problem of low-energy properties of a super...

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Bibliographic Details
Published in:Physical review letters Vol. 89; no. 9; p. 096802
Main Authors: Matveev, K A, Larkin, A I, Glazman, L I
Format: Journal Article
Language:English
Published: United States 26-08-2002
Online Access:Get full text
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Summary:The superconductivity in very thin rings is suppressed by quantum phase slips. As a result, the amplitude of the persistent current oscillations with flux becomes exponentially small, and their shape changes from sawtooth to a sinusoidal one. We reduce the problem of low-energy properties of a superconducting nanoring to that of a quantum particle in a sinusoidal potential and show that the dependence of the current on the flux belongs to a one-parameter family of functions obtained by solving the respective Schrödinger equation with twisted boundary conditions.
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ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.89.096802